Look at triangle ABC below.
Which is the median?
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Look at triangle ABC below.
Which is the median?
To solve this problem, we must identify which line segment in triangle ABC is the median.
First, review the definition: a median in a triangle connects a vertex to the midpoint of the opposite side. Now, in triangle ABC:
From the diagram, it appears that E is indeed the midpoint of side AB. Thus, line segment EC connects vertex C to this midpoint.
This fits the definition of a median, verifying that EC is the median line segment in triangle ABC.
Therefore, the solution to the problem is: .
EC
Is the straight line in the figure the height of the triangle?
Look for visual clues in the diagram! Point E should appear exactly halfway between A and B. In this problem, the diagram shows E positioned at the midpoint of side AB.
Point D lies on side BC, not at its midpoint. A median must connect a vertex to the midpoint of the opposite side. AD connects vertex A to point D, but D isn't the midpoint of BC.
Yes! Every triangle has exactly three medians - one from each vertex to the midpoint of the opposite side. In this problem, we're only identifying one of them.
A median goes to the midpoint of the opposite side, while an altitude is perpendicular to the opposite side. They're completely different triangle segments with different purposes!
No! The length doesn't determine if it's a median. What matters is that EC connects vertex C to point E, and E is the midpoint of side AB.
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